RT Journal T1 AN INTEGRATION BY PARTS FORMULA FOR STOCHASTIC HEAT EQUATIONS WITH FRACTIONAL NOISE* A1 Xiuwei YIN PB 数学物理学报(英文版) FD 2023-02-25 YR 2023 JF Acta Mathematica Scientia JO 数学物理学报(英文版) VO 43 IS 1 SP 349 DO 10.1007/s10473-023-0119-2 K1 integration by parts formula;stochastic heat equations;fractional Brownian motion;shift Harnack inequality;coupling by change of measures LK {http://121.43.60.238/sxwlxbB/CN/article/article_16921.shtml}